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Finding the Fourth Proportional to 99,545, 137,372.10 and 54,833

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Solution

The fourth proportional to 99,545, 137,372.10 and 54,833 is: 75,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,545 : 137,372.10 = 54,833 : x
  2. Step 2: Convert to fraction form
    99,545/137,372.10 = 54,833/x
  3. Step 3: Cross multiply
    99,545x = 137,372.10 × 54,833
  4. Step 4: Simplify right side
    99,545x = 7,532,524,359.30
  5. Step 5: Solve for x
    x = 7,532,524,359.30/99,545
  6. Step 6: Final answer
    x = 75,669.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.